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What sum of money will amount to D10 400 in 5 y... - WAEC Mathematics 2016 Question

What sum of money will amount to D10,400 in 5 years at 6% simple interest?

A
D8,000.00
B
D10,000.00
C
D12,000.00
D
D16,000.00
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Correct Option: A

A = P + 1

I = A - P

= 10,400 - P

Now using I = (\frac{P \times T \times R}{100})

i.e. 10,400 - P = (\frac{P \times 5 \times 6}{100})

= 100(10,400 - P) = 30P

10(10,400 - P) = 3P

104,000 - 10P = 3P

104,000 - 10P = 3P

104,000 = 3P + 10P

= 104,000 = 13P

P = (\frac{104,000}{100})

P = D8,000

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